Abstract We define a dimension for a triangulated category. We prove a representability Theorem for a class of functors on finite dimensional triangulated categories. We study the dimension of the bounded derived category of an algebra or a scheme and we show in particular that the bounded derived category of coherent sheaves over a variety…
Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology Template
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About the Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology format
Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology is a peer-reviewed journal published by Cambridge University Press, covering Homotopy and Cohomology in Algebraic Topology, Algebraic structures and combinatorial models, Advanced Topics in Algebra.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology 12 (2023) 45–58.
Formats any DOI in the closest standard style — Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Homotopy and Cohomology in Algebraic Topology Algebraic structures and combinatorial models Advanced Topics in Algebra Algebraic Geometry and Number Theory Diverse Scientific and Economic Studies |
| ISSN | 1865-2433 |
| h-index | 27 |
| i10-index | 90 |
| Total citations | 3,504 |
| Top institutions publishing here | Tata Institute of Fundamental Research |
| Journal website | journals.cambridge.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology
Abstract We define a dimension for a triangulated category. We prove a representability Theorem for a class of functors on finite dimensional triangulated categories. We study the dimension of the bounded derived category of an algebra or a scheme and we show in particular that the bounded derived category of coherent sheaves over a variety…
Abstract In this paper we introduce a new notion of weight structure (w) for a triangulated category C ; this notion is an important natural counterpart of the notion of t -structure. It allows extending several results of the preceding paper [Bon09] to a large class of triangulated categories and functors. The heart of w…
Abstract We construct an associative product on the symmetric module S ( L ) of any pre-Lie algebra L . It turns S ( L ) into a Hopf algebra which is isomorphic to the enveloping algebra of L Lie . Then we prove that in the case of rooted trees our construction gives the…
Abstract In this article we use the theories of relative algebraic geometry and of homotopical algebraic geometry (cf. [HAGII]) to construct some categories of schemes defined under Spec ℤ. We define the categories of ℕ-schemes, 1 -schemes, -schemes, + -schemes and 1 -schemes, where (from an intuitive point of view) ℕ is the semi-ring of…